"Incontrovertible proof" means evidence or facts that cannot be denied, disputed, argued against, or contradicted. It is undeniable and unquestionable evidence that proves something to be true. Full definition
Results: Definitive lack of incontrovertible proof of your god. (religion.blogs.cnn.com)
The marvelous filmlet provides incontrovertible proof that Pixar is still capable of wonderful new feats of visual and narrative imagination. (theatlantic.com)
But, just as there is a deviate group who will insist that there is no inconsistency or unreasonableness in the «official story» about September 11, there are those who will insist that they have incontrovertible proof there is no God even when they believe in Him. (religion.blogs.cnn.com)